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Finding the Fourth Proportional to 2,734.32, 4,098.80 and 1,090.82

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Solution

The fourth proportional to 2,734.32, 4,098.80 and 1,090.82 is: 1,635.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.32 : 4,098.80 = 1,090.82 : x
  2. Step 2: Convert to fraction form
    2,734.32/4,098.80 = 1,090.82/x
  3. Step 3: Cross multiply
    2,734.32x = 4,098.80 × 1,090.82
  4. Step 4: Simplify right side
    2,734.32x = 4,471,053.02
  5. Step 5: Solve for x
    x = 4,471,053.02/2,734.32
  6. Step 6: Final answer
    x = 1,635.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.